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Finding the Fourth Proportional to 202,876.88, 304,445.88 and 109,447.12

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Solution

The fourth proportional to 202,876.88, 304,445.88 and 109,447.12 is: 164,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876.88 : 304,445.88 = 109,447.12 : x
  2. Step 2: Convert to fraction form
    202,876.88/304,445.88 = 109,447.12/x
  3. Step 3: Cross multiply
    202,876.88x = 304,445.88 × 109,447.12
  4. Step 4: Simplify right side
    202,876.88x = 33,320,724,761.87
  5. Step 5: Solve for x
    x = 33,320,724,761.87/202,876.88
  6. Step 6: Final answer
    x = 164,241.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.